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Perform the operations.$$\begin{array}{l}{3 t^{3}-4 t^{2}-3 t+5} \\{+11 t^{3}} \quad\quad {-8 t-2} \\\hline\end{array}$$
$14 t^{3}-4 t^{2}-11 t+3$
Algebra
Chapter 5
Exponents and Polynomials
Section 5
Adding and Subtracting Polynomials
Polynomials
Oregon State University
Baylor University
Lectures
00:49
Perform the indicated oper…
01:45
01:31
01:12
02:26
Perform the operations.
00:53
01:47
00:52
04:13
02:42
00:30
Perform each indicated ope…
02:16
Perform the operations. Si…
00:54
03:21
Perform the operations and…
01:18
02:43
00:50
00:43
we're being asked to perform the given operations on these two Paulino meals. Well, if you know this, we're being asked to add the two pollen appeals. If you also know this is given to us in vertical form, which is nice because our like terms already stacked on top of each other. So all we need to do is add up each of our columns. So let's start with the first call, which is three teas of the third plus 11 t to the third well, three plus 11. This 14. So we'll have 14 t to the third. Now, if you look at our second column, we have negative 40 square, but we have nothing in the second row. And the reason why is because there are no t squared, so it's essentially like having plus zero t squared. But you'll know this. They'll never put a zero T square in your problem. So now if we were the advice column, negative 40 squared plus zero t squared is still just negative. Four. T squared Arthur column is negative. Three T minus 80. Well, negative three minus eight is negative. 11. So we'll have negative 11 t and then our last column. We have five minus two. We'll find minus two is equal the positive three. So our final answer is 14 T to the third, minus 40 squared minus 11 T plus three.
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